A Class of Discrete-Time State-Reset Systems and Networked Distributed Control

Abstract

We define the discrete-time state-reset system with the state-reset mechanism, which resets some elements of the state to zero when the elements exceeds the threshold.We show the state boundedness of the state-reset system including the property that the state has the invariant set.As one of examples of state-reset systems, We also consider the network-type decentralized control system and derive that the invariant set of the state estimation error exists.